GCD of 374, 612, 238 Calculator

Given Input numbers are 374, 612, 238

In the factoring method, we have to find the divisors of all numbers

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (374, 612, 238) = 34.

Given numbers are 374, 612, 238

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 17¹ x 2¹

Therefore, GCD of 374, 612, 238 is 34.

Given numbers are 374, 612, 238

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(374, 612) = 6732

GCD(374, 612) = ( 374 x 612 ) / 6732

= 374 / 612

= 374

Step2:

LCM(34, 238) = 238

GCD(34, 238) = ( 34 x 238 ) / 238

= 34 / 238

= 34

So, Greatest Common Divisor of 374, 612, 238 is 34

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 337, 454
• GCD of 850, 259, 701
• GCD of 538, 629, 306
• GCD of 557, 747, 708
• GCD of 255, 222, 985

Given numbers are 374, 612, 238
The greatest common divisor of numbers 374, 612, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 612, 238 is 34.

1. What is the GCD of 374, 612, 238?

GCD of given numbers 374, 612, 238 is 34

2. How to calculate the greatest common divisor of 374, 612, 238?

We can find the highest common divisor of 374, 612, 238 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 374, 612, 238 i.e 34.

3. How can I use the GCD of 374, 612, 238Calculator?

Out the numbers 374, 612, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.